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Finding the Third Proportional to 115,434 and 247,293

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Solution

The third proportional to 115,434 and 247,293 is: 529,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,434 : 247,293 = 247,293 : x
  2. Step 2: Convert to fraction form
    115,434/247,293 = 247,293/x
  3. Step 3: Cross multiply
    115,434x = 247,293 × 247,293
  4. Step 4: Simplify right side
    115,434x = 61,153,827,849
  5. Step 5: Solve for x
    x = 61,153,827,849/115,434
  6. Step 6: Final answer
    x = 529,773.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.